What is the Least Common Multiple of 66414 and 66420?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 66414 and 66420 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66414 and 66420, than apply into the LCM equation.

GCF(66414,66420) = 6
LCM(66414,66420) = ( 66414 × 66420) / 6
LCM(66414,66420) = 4411217880 / 6
LCM(66414,66420) = 735202980

Least Common Multiple (LCM) of 66414 and 66420 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66414 and 66420. First we will calculate the prime factors of 66414 and 66420.

Prime Factorization of 66414

Prime Factorization of 66420

Now multiplying the highest exponent prime factors to calculate the LCM of 66414 and 66420.

LCM(66414,66420) = 2² × 3⁴ × 11069¹ × 5¹ × 41¹
LCM(66414,66420) = 735202980